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Description of Statistical Computation

Author's title

Author*The author of this computation has been verified*
R Software Modulerwasp_hypothesismeanu.wasp
Title produced by softwareTesting Mean with unknown Variance - Critical Value
Date of computationThu, 18 Dec 2014 12:58:35 +0000
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2014/Dec/18/t14189075338kk8ctxib6a8rvy.htm/, Retrieved Fri, 17 May 2024 18:52:07 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=270885, Retrieved Fri, 17 May 2024 18:52:07 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact95

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-     [Testing Mean with unknown Variance - Critical Value] [] [2014-10-18 07:38:50] [fa1b8827d7de91b8b87087311d3d9fa1]
-   PD    [Testing Mean with unknown Variance - Critical Value] [] [2014-12-18 12:58:35] [7de19aadd459682308988067914fc05d] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
72
61
68
61
64
65
69
63
75
63
73
75
63
63
62
64
60
56
59
68
66
73
72
71
59
64
66
78
68
73
62
65
68
65
60
71
65
68
64
74
69
76
68
72
67
63
59
73
66
62
69
66
57
56
71
56
62
59
57
66
63
69
48
66
73
67
61
68
75
62
69
74
63
58
58
72
62
62
65
69
66
72
62
75
58
66
55
47
62
64
64
50
70
69
48
66
73
74
66
78
60
69
65
78
63
71
80
73
69
84
64
58
59
78
67
60
66
74
72
55
49
74
53
64
65
57
51
80
67
70
74
75
70
69
65
71
65
68
67
66
59
72
52
65
68
67
73
65
75
57
62
59
63
73
55
64
78
60
66
68
78
60
64
72
71
80
74
69
75
73
60
76
53
78
67
59
73
70
59
76
66
64
72
57
74
66
74
71
65
70
66
77
72
65
67
72
58
84
63
58
69
80
67
75
71
72
75
79
76
81
60
67
72
79
40
70
66
66
73
74
70
50
64
77

Tables (Output of Computation)





Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 0 seconds \tabularnewline
R Server & 'Gertrude Mary Cox' @ cox.wessa.net \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270885&T=0

[TABLE]
[ROW][C]Summary of computational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]0 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gertrude Mary Cox' @ cox.wessa.net[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270885&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270885&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time0 seconds
R Server'Gertrude Mary Cox' @ cox.wessa.net






Hypothesis Test about the Mean - Confidence Interval
Sample size224
Sample standard deviation7.40707433202568
Confidence0.95
Null hypothesis66
Sample Mean66.7232142857143
2-sided Confidence Interval[ 65.7479233987413 , 67.6985051726873 ]
Left-sided Confidence Interval[ 65.9057705110156 , +inf ]
Right-sided Confidence Interval[ -inf, 67.540658060413 ]

\begin{tabular}{lllllllll}
\hline
Hypothesis Test about the Mean - Confidence Interval \tabularnewline
Sample size & 224 \tabularnewline
Sample standard deviation & 7.40707433202568 \tabularnewline
Confidence & 0.95 \tabularnewline
Null hypothesis & 66 \tabularnewline
Sample Mean & 66.7232142857143 \tabularnewline
2-sided Confidence Interval & [ 65.7479233987413 , 67.6985051726873 ] \tabularnewline
Left-sided Confidence Interval & [ 65.9057705110156 , +inf ] \tabularnewline
Right-sided Confidence Interval & [ -inf,  67.540658060413 ] \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=270885&T=1

[TABLE]
[ROW][C]Hypothesis Test about the Mean - Confidence Interval[/C][/ROW]
[ROW][C]Sample size[/C][C]224[/C][/ROW]
[ROW][C]Sample standard deviation[/C][C]7.40707433202568[/C][/ROW]
[ROW][C]Confidence[/C][C]0.95[/C][/ROW]
[ROW][C]Null hypothesis[/C][C]66[/C][/ROW]
[ROW][C]Sample Mean[/C][C]66.7232142857143[/C][/ROW]
[ROW][C]2-sided Confidence Interval[/C][C][ 65.7479233987413 , 67.6985051726873 ][/C][/ROW]
[ROW][C]Left-sided Confidence Interval[/C][C][ 65.9057705110156 , +inf ][/C][/ROW]
[ROW][C]Right-sided Confidence Interval[/C][C][ -inf,  67.540658060413 ][/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=270885&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=270885&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Hypothesis Test about the Mean - Confidence Interval
Sample size224
Sample standard deviation7.40707433202568
Confidence0.95
Null hypothesis66
Sample Mean66.7232142857143
2-sided Confidence Interval[ 65.7479233987413 , 67.6985051726873 ]
Left-sided Confidence Interval[ 65.9057705110156 , +inf ]
Right-sided Confidence Interval[ -inf, 67.540658060413 ]


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = 0.95 ; par2 = 50 ;
Parameters (R input):
par1 = 0.95 ; par2 = 66 ;
R code (references can be found in the software module):
par1 <- as.numeric(par1)
par2 <- as.numeric(par2)
len <- length(x)
df <- len - 1
sd <- sd(x)
mx <- mean(x)
load(file='createtable')
delta2 <- abs(qt((1-par1)/2,df)) * sd / sqrt(len)
delta1 <- abs(qt((1-par1),df)) * sd / sqrt(len)
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Hypothesis Test about the Mean - Confidence Interval',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample size',header=TRUE)
a<-table.element(a,len)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample standard deviation',header=TRUE)
a<-table.element(a,sd)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Confidence',header=TRUE)
a<-table.element(a,par1)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Null hypothesis',header=TRUE)
a<-table.element(a,par2)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Sample Mean',header=TRUE)
a<-table.element(a,mx)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'2-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta2)
dum <- paste(dum,',')
dum <- paste(dum,mx+delta2)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Left-sided Confidence Interval',header=TRUE)
dum <- paste('[',mx-delta1)
dum <- paste(dum,', +inf ]')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Right-sided Confidence Interval',header=TRUE)
dum <- paste('[ -inf, ',mx+delta1)
dum <- paste(dum,']')
a<-table.element(a,dum)
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable.tab')